“La Science et la Hypothèse in H. J. Poincarè. Epistemologies notes”, Epistemologia e didattica, in press, 2005

Mathematics of logics or Logic of mathematics. Critical problems in the History of Science. In the past Logic had glorious years, even in medieval times, during which it was part of the famous Quadrivium of teaching. It historically developed its solidity and identity by shouldering the development of those Sciences such as Mathematics, Physics and Chemistry; even though its methodological process has been above all influenced by the first of these.... <continue>

Which kind of mathematics for Quantum Mechanics? A survey and a program of research. In previous papers I reviewed past contributions untill to 1970 to the debate about the relationship of theoretical physics (=TP) with classical mathematics (=CM) which notoriously includes actual infinity (e.g. Zermelo's axiom). In this communication I will consider ... <continue> Which choice of infinite in Phisycal science? Sin dal XV sec. un problema cruciale degli studiosi era il rapporto che si riusciva a stabilire tra l’osservazione di un fenomeno nella realtà e la sua interpretazione matematica. Un antico metodo adottato fu quello di (verificare e) applicare ai ragionamenti matematici la pratica di strumenti fondamentali come la riga ed il compasso....<continue>